Large- expansion method for two-body Dirac equation.
Duviryak, Askold (2006)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Displaying similar documents to “Effective Evolution Equations in Quantum Physics”
Large- expansion method for two-body Dirac equation.
The mean-field limit for the dynamics of large particle systems
François Golse (2003)
Journées équations aux dérivées partielles
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This short course explains how the usual mean-field evolution PDEs in Statistical Physics - such as the Vlasov-Poisson, Schrödinger-Poisson or time-dependent Hartree-Fock equations - are rigorously derived from first principles, i.e. from the fundamental microscopic models that govern the evolution of large, interacting particle systems.
Self-localized quasi-particle excitation in quantum electrodynamics and its physical interpretation.
Feranchuk, Ilya D., Feranchuk, Sergey I. (2007)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Generalized deformed commutation relations with nonzero minimal uncertainties in position and/or momentum and applications to quantum mechanics.
Quesne, Christiane, Tkachuk, Volodymyr M. (2007)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Two-dimensional supersymmetric quantum mechanics: two fixed centers of force.
González León, M.A., Mateos Guilarte, J., de la Torre Mayado, M. (2007)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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An algorithm for quantum propagation through electron level crossings.
Clotilde Fermanian Kammerer, Caroline Lasser (2005)
Journées Équations aux dérivées partielles
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Transverse evolution operator for the Gross-Pitaevskii equation in semiclassical approximation.
Borisov, Alexey, Shapovalov, Alexander, Trifonov, Andrey (2005)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Isotropic hypoellipticity and trend to the equilibrium for the Fokker-Planck equation with high degree potential
Frédéric Hérau (2002)
Journées équations aux dérivées partielles
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We consider the Fokker-Planck equation with a confining or anti-confining potential which behaves at infinity like a possibly high degree homogeneous function. Hypoellipticity techniques provide the well-posedness of the weak-Cauchy problem in both cases as well as instantaneous smoothing and exponential trend to equilibrium. Lower and upper bounds for the rate of convergence to equilibrium are obtained in terms of the lowest positive eigenvalue of the corresponding Witten laplacian,...
On classical solutions of the relativistic Vlasov-Klein-Gordon system.
Kunzinger, Michael, Rein, Gerhard, Steinbauer, Roland, Teschl, Gerald (2005)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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